On the generalized Bykovskii presentation of Steinberg modules
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On the generalized Bykovskii presentation of Steinberg modules. / Kupers, Alexander; Miller, Jeremy; Patzt, Peter; Wilson, Jennifer C. H. .
I: International Mathematics Research Notices, Bind 2022, Nr. 13, 2022, s. 10347–10401.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - On the generalized Bykovskii presentation of Steinberg modules
AU - Kupers, Alexander
AU - Miller, Jeremy
AU - Patzt, Peter
AU - Wilson, Jennifer C. H.
PY - 2022
Y1 - 2022
N2 - We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of the integers, and our main result is a generalization of this presentation to the Gaussian integers and the Eisenstein integers. We also show that this generalization does not give a presentation for the Steinberg modules of several Euclidean number rings.
AB - We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of the integers, and our main result is a generalization of this presentation to the Gaussian integers and the Eisenstein integers. We also show that this generalization does not give a presentation for the Steinberg modules of several Euclidean number rings.
U2 - 10.1093/imrn/rnab028
DO - 10.1093/imrn/rnab028
M3 - Journal article
VL - 2022
SP - 10347
EP - 10401
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 13
ER -
ID: 258772376